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प्रश्न
Median is also called ______ in an equilateral triangle.
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उत्तर
Median is also called altitude in an equilateral triangle.
Explanation:
In an equilateral triangle, all sides are equal, and all angles measure 60°. Because of this symmetry:
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The median (a line segment joining a vertex to the midpoint of the opposite side),
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The altitude (a perpendicular dropped from a vertex to the opposite side),
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The angle bisector, and
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The perpendicular bisector are all the same line.
So, in an equilateral triangle, the median also acts as an altitude.
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संबंधित प्रश्न
Draw rough sketch for the following:
In ΔPQR, PQ and PR are altitudes of the triangle.
Draw rough sketch for the following:
In ΔXYZ, YL is an altitude in the exterior of the triangle.
Draw a right angled Δ XYZ. Draw its medians and show their point of concurrence by G.
Name the orthocentre of ∆PQR
The sides of a right angled triangle are in the ratio 5 : 12 : 13 and its perimeter is 120 units then, the sides are ______________
How many altitudes does a triangle have?
Which of the following figures will have it’s altitude outside the triangle?
The ______ triangle always has altitude outside itself.
How many altitudes can be drawn in a triangle?
Which of the following is NOT true about the altitude of a triangle?
